A Study of the Monotonic Properties of Solutions of Neutral Differential Equations and Their Applications-Reference-Cited by-同舟云学术

A Study of the Monotonic Properties of Solutions of Neutral Differential Equations and Their Applications

Published:2023-03-31 Issue:4 Volume:12 Page:346
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Moaaz Osama¹²^ORCID,Alhgilan Abtehal E.¹

Affiliation:

1. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and asymptotic behaviour of the solutions to delay differential equations. Then, by using the new properties, we create improved criteria for testing the oscillation of solutions to the studied equation. We also find new criteria that can be applied more than once. Moreover, we discuss the importance and novelty of the results through the application to a special case of the studied equation.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/4/346/pdf

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